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For the latest NCERT Class 9 English textbook, you can check the link below.
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Assuming the given equation is
$\sin x\frac{d^3y}{dx^3}+\cos x\left(\frac{dy}{dx}\right)^{100}=0$ the degree is 1 .
The highest-order derivative is $\frac{d^3y}{dx^3}$, and its power is 1. Therefore, the degree of the differential equation is 1.
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